Secular variation of the Moon's rotation rate.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Methods: Numerical, Moon, Earth

Scientific paper

The Moon is responsible for an appreciable tidal bulge on the Earth. This bulge has a lag angle with reference to the lunar direction, responsible for the secular acceleration of the Moon. This paper presents the resulting action on the lunar spin motion. First, the direct effects of the anelastic terrestrial tides on the Moon's rotational motion have been modeled and isolated. The resulting lunar libration is characterized by a long modulation with a period of 80 years. The advance of the terrestrial tidal bulge relative to the lunar direction modifies only slightly this modulation. Second, a spin-orbit interaction has been isolated from the spin-orbit coupling included in our global model of the lunar motion. This interaction, permitted by the lunar spin-orbit resonance 1/1 and related to the terrestrial bulge advance, is characterized by a secular slowing down of the Moon's rotation rate. The mechanism of the secular acceleration of the lunar longitude is matched by the secular acceleration of the lunar rotation, preserving the synchronous rotation (˙(n)=~˙(ω)=~-25"/cy^2^ and ˙(ω)/ω=~-14x10^-9^cy^-1^).

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